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Construction of Ellipse

Construction of Ellipse
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2016-05-28 03:09
Coordinate GeometryGeometric Construction
This applet demonstrates the construction of an ellipse based on the definition that the sum of distances from any point on the ellipse to two fixed points (foci) is constant. Key concepts include foci, radius point, segments, line bisector, intersection, and locus. GeoGebra commands such as Circle, Point, Segment, LineBisector, Intersect, and Locus are used to illustrate the construction process. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Circle(Focus1, RadiusPoint) → c
  2. Point(c) → ArbitraryPoint
  3. Segment(Focus1, ArbitraryPoint) → radius
  4. LineBisector(Focus2, ArbitraryPoint) → Focus2bisector
  5. Intersect(radius, Focus2bisector) → EllipsePoint
  6. Locus(EllipsePoint, ArbitraryPoint) → loc1
  7. Segment(ArbitraryPoint, Focus2) → Focus2toArbPoint
  8. Segment(Focus1, RadiusPoint) → EllipseDistance
  9. Segment(EllipsePoint, Focus2) → Focus2toPoint